A Fuller Explanation: The Synergetic Geometry of R. Buckminster Fuller

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Springer Science & Business Media, Dec 6, 2012 - Mathematics - 302 pages
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In a broad sense Design Science is the grammar of a language of images rather than of words. Modern communication techniques enable us to transmit and reconstitute images without the need of knowing a specific verbal sequential language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multidimensional. Architectural renderings commonly show projections onto three mutually perpendicular planes, or consist of cross sections at differ ent altitudes representing a stack of floor plans. Such renderings make it difficult to imagine buildings containing ramps and other features which disguise the separation between floors; consequently, they limit the creativity of the architect. Analogously, we tend to analyze natural structures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures.
 

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Contents

The Irrationality of Pi
15
Systems and Synergy
25
Tools of the Trade
36
12
41
Eulers Law
43
Intertransformability
51
Structure
60
Frequency and Size
66
In Search of Cosmic Hierarchy
143
Jitterbug
159
A and BQuanta Modules
189
Mite
195
AllSpace Fillers
203
GreatCircle Patterns
209
Energy Paths
226
The Invisible Made Visible
232

Angular Topology
75
Vector Equilibrium
82
Degrees of Freedom
93
Closest Packing
100
Isotropic Vector Matrix
127
Tensegrity
241
Design Science
258
Appendices
271
Notes
289
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